Q: What are the factor combinations of the number 177,027,599?

 A:
Positive:   1 x 1770275997 x 25289657179 x 9889811253 x 141283
Negative: -1 x -177027599-7 x -25289657-179 x -988981-1253 x -141283


How do I find the factor combinations of the number 177,027,599?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 177,027,599, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 177,027,599
-1 -177,027,599

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 177,027,599.

Example:
1 x 177,027,599 = 177,027,599
and
-1 x -177,027,599 = 177,027,599
Notice both answers equal 177,027,599

With that explanation out of the way, let's continue. Next, we take the number 177,027,599 and divide it by 2:

177,027,599 ÷ 2 = 88,513,799.5

If the quotient is a whole number, then 2 and 88,513,799.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 177,027,599
-1 -177,027,599

Now, we try dividing 177,027,599 by 3:

177,027,599 ÷ 3 = 59,009,199.6667

If the quotient is a whole number, then 3 and 59,009,199.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 177,027,599
-1 -177,027,599

Let's try dividing by 4:

177,027,599 ÷ 4 = 44,256,899.75

If the quotient is a whole number, then 4 and 44,256,899.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 177,027,599
-1 177,027,599
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

171791,253141,283988,98125,289,657177,027,599
-1-7-179-1,253-141,283-988,981-25,289,657-177,027,599

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 177,027,599:


Ask a Question